A circular arc has measure 4 cm and is intercepted by a central angle of pie over 6 radians. Find the radius r of the circle

3 answers

We can use the formula for arc length:

L = rθ

where L is the length of the arc, r is the radius of the circle, and θ is the measure of the central angle in radians.

In this problem, we have L = 4 cm and θ = π/6 radians. Substituting these values into the formula, we get:

4 = r(π/6)

Multiplying both sides by 6/π, we get:

4(6/π) = r

Simplifying, we get:

r = 24/π

So the radius of the circle is 24/π cm.
Covert -144.44• to radian measure round your and otp the nearest hundredo
Covert -144.45• to radian measure round your answer to the nearest hundredth